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The image contains several mathematical problems related to coordinate geometry, focusing on finding slopes, midpoints, and determining line properties. I'll go through each section and solve the problems step by step.

### **1. Problem 1**

#### **(a) Berdasarkan kepada satah Cartes di sebelah, nyatakan:**
1. **Keccerunan (slope) QR:**
   The slope \( m \) of a line passing through two points \( (x_1, y_1) \) and \( (x_2, y_2) \) is given by:
   \[
   m = \frac{y_2 - y_1}{x_2 - x_1}
   \]

2. **Keccerunan PQ:**
   - Find the slope using the formula for the points P and Q.

3. **Pintasan-y (y-intercept) bagi QR:**
   - Find the y-intercept using the equation \( y = mx + c \), where \( m \) is the slope of QR and \( (x_1, y_1) \) is any point on the line.

#### **(b) Hitung Keccerunan bagi pasangan titik berikut:**
1. **(P1: (23, 7), P2: (16, 11))**
   \[
   m = \frac{11 - 7}{16 - 23} = \frac{4}{-7} = -\frac{4}{7}
   \]
2. **(P3: (2, 5), P4: (-4, 10))**
   \[
   m = \frac{10 - 5}{-4 - 2} = \frac{5}{-6} = -\frac{5}{6}
   \]

#### **(c) Rajah di sebelah menunjukkan garis lurus PQR pada satah Cartes.**
   - Find the midpoint using the midpoint formula: 
   \[
   \text{Midpoint } M = \left( \frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2} \right)
   \]

### **2. Problem 2**

#### **(a) Bagi setiap garis lurus berikut, tentukan sama ada keccerunannya positif, negatif, sifar atau tidak tertakrif:**
1. **(i), (ii), (iii)** Determine the slope visually by observing the direction of the line. If it slopes upwards from left to right, it's positive; if downwards, it's negative.

#### **(b) Pada satah Cartes di sebelah, PQR ialah segi tiga sama kaki dengan keadaan PQ = PR. Diberi keccerunan PQ ialah 4/3, tentukan:**
   - Determine the slope of PR by finding the perpendicular slope.

### **3. Problem 3**

#### **(a) Berdasarkan kepada satah Cartes di sebelah, tentukan:**
1. **Pintasan-y bagi garis lurus PR:**
   - Solve for the y-intercept using the points given.

2. **Keccerunan QR:**
   - Similar to problem 1a.

3. **Keccerunan PR:**
   - Similar to problem 1a.

### **Further Steps:**

Let me know if you would like me to provide detailed step-by-step solutions for each specific question!

Solve the coordinate geometry problems related to slopes, midpoints, and line properties from the provided worksheet.

Learn how to solve problems involving slopes, midpoints, and y-intercepts in coordinate geometry with detailed solutions. This worksheet focuses on understanding line properties through Cartesian coordinates.

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